Relation between anomalous and normal diffusion in systems with memory

Phys Rev Lett. 2002 Sep 2;89(10):100601. doi: 10.1103/PhysRevLett.89.100601. Epub 2002 Aug 14.

Abstract

We present a simple criterion based on the Einstein relation for determining whether diffusion in systems governed by a generalized Langevin equation with long-range memory is normal, superdiffusive, or subdiffusive. We support our analysis with numerical simulations.